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Computes the numerical gradient (vector of partial derivatives) of a multivariable function at a given point

Computes the continued fraction representation of a real number to a specified depth

Performs one-way Analysis of Variance (ANOVA) across multiple groups to test whether their means differ significantly

Computes the null space (kernel) of a given matrix

Finds the numerical root of a nonlinear single-variable equation given a function expression and an initial guess

Solves linear Diophantine equations of the form ax + by = c, returning integer solutions if they exist

Converts an area value from one unit to another (e.g. square meters to acres) with no external dependencies

Solves polynomial equations given an array of coefficients (highest degree first) and returns the roots and computation details

Converts a numeric value from one data storage or transfer unit to another (e.g., bytes to megabytes, gigabits to terabytes) with zero external dependencies.

Solves cubic equations of the form ax³ + bx² + cx + d = 0 and returns all roots

Solves constraint satisfaction problems given a set of variables and constraints using pure math computation

Computes the z-score (standard score) for a dataset, indicating how many standard deviations each value is from the mean

Calculates return on investment (ROI) given a cost and gain amount

Computes a frequency histogram from a numeric data array, returning bin edges and counts for distribution analysis

Computes income tax liability across progressive tax brackets given an income amount and bracket structure

Generates a list of the first N prime numbers using pure server-side math computation

Converts a numeric speed value from one unit to another (e.g. mph to km/h, knots to m/s)

Generates cryptographic hash values for input strings using configurable hashing algorithms

Solves constraint satisfaction problems given a set of variables and constraints using pure mathematical computation

Solves a linear equation of the form ax + b = 0, returning the root x

Converts a numeric value between data storage/transfer units (e.g. bytes to megabytes, kilobits to gigabits) using pure math computation

Computes the inflation-adjusted value of a monetary amount over a given number of years at a specified inflation rate

Computes descriptive statistics (mean, median, mode, variance, standard deviation, etc.) for a given numerical dataset

Detects statistical outliers in a numeric dataset using configurable methods

Computes projected retirement savings balance given an initial savings amount, annual contribution, interest rate, and number of years.

Generates the first n rows of Pascal's Triangle as a pure math computation with no external dependencies

Identifies statistical outliers in a numeric dataset using configurable detection methods

Computes a financial comparison between leasing and buying an asset, returning cost breakdowns and metrics for both scenarios

Computes the sum of a mathematical series given a term expression in index n, with configurable term count and convergence tolerance

Computes a confidence interval for a given dataset at a specified confidence level (e.g., 95%)

Generates n random numbers of a specified type (e.g. integer, float, normal) with optional distribution parameters

Solves a system of linear equations given a coefficient matrix A and constants vector b, returning the solution vector x such that Ax = b

Numerically solves a nonlinear equation expressed as a function of x, given an initial guess, returning the root.

Returns the live declared dependencies for a given PyPI package (defaulting to NumPy) by inspecting its PyPI metadata.

Fetches live PyPI metadata and health information for the NumPy Python package (or any overridden package name).

Returns live PyPI source repository and documentation URLs for NumPy (or any overridden Python package name).

Returns the OSV vulnerability disclosure timeline for a specific version of the numpy PyPI package, including known CVEs and security advisories.

Analyzes nutrition topics including supplements, macros/micros, food lookups, metabolic health, lab results, longevity protocols, and prenatal nutrition using PubMed-grounded clinical literature

Provides PubMed-grounded nutrition intelligence including supplement analysis, macro/micronutrient planning, food lookups, metabolic health guidance, and longevity protocols

Interprets lab results through a nutrition and metabolic health lens, grounded in PubMed clinical literature, returning dietary and supplement guidance

Provides PubMed-grounded prenatal nutrition guidance including supplement recommendations, micronutrient planning, and clinical protocols for pregnancy

Generates personalized nutrition plans grounded in PubMed clinical literature, covering macros, micronutrients, supplements, and metabolic health protocols

Compares two or more foods, supplements, or nutritional items side-by-side using PubMed-grounded clinical data and nutrient profiles

Generates a personalized nutrition supplement stack with PubMed-grounded analysis based on user health goals and profile

Provides PubMed-grounded glucose regulation and metabolic health nutrition guidance, including dietary strategies, supplement recommendations, and CGM-informed protocols

Returns runtime and platform constraint metadata for the nuxt npm package, useful for integration and upgrade planning.

Returns recent reported gross profit figures for NVIDIA (or any SEC-listed company) extracted from live SEC EDGAR filings.

Returns a structured playbook of templates and instructions for AI agents handling rush or urgent client communications in a vending or print/materials business context.

Delivers a structured agent playbook for handling emergency after-hours client communications in a vending/materials context

Returns a structured agent playbook with templates, scripts, and workflows for handling client refund and cancellation requests in a professional service or trades business context.

Retrieves a pre-built agent playbook template for requesting client assets and files in a professional workflow context.

Fetches a pre-built agent playbook for requesting photo usage permissions from portfolio subjects or clients after a shoot.

Returns a structured playbook/template pack for running a weekly 15-minute operations review, designed for AI agent automation.

Retrieves a pre-built agent playbook template for requesting Certificates of Insurance (COI) from vendors, subcontractors, or partners in a vending/materials business context.

Delivers a structured agent-readable playbook for LLM API bootcamp training content from the Materials Factory catalog.

Returns a structured agent playbook for managing and prioritizing multiple concurrent jobs in a manufacturing or materials-factory context.

Returns a structured playbook (templates, scripts, and workflow modules) for managing pickup and will-call order handoff communications in a service or materials business.

Retrieves a structured playbook and template pack for managing quality control failures and rework workflows in a manufacturing or production context.

Returns a structured client intake playbook template pack for AI agents to guide new client onboarding workflows

Returns a structured agent playbook for managing installation and on-site coordination workflows, including templates, scripts, and task sequences for field operations.

Returns a pre-built agent playbook for managing finished goods storage hold workflows in a materials/manufacturing context.

Returns a structured project-kickoff playbook JSON artifact (mf-tpl-010) designed for AI agents to guide small businesses through initiating a new client project.

Delivers a structured agent playbook for re-engaging and reordering from repeat clients in a materials or print production business context.

Returns a structured agent playbook for qualifying leads during meetings or phone calls, including scripts, decision logic, and communication templates.

Returns a structured agent playbook for managing client contact information updates and account transfer workflows in a materials or contracting business context.

Returns a structured agent playbook template for handling vendor issues, including scripts, escalation steps, and communication templates.

Retrieves a structured agent playbook template for managing physical sample and color proof approval workflows in a manufacturing or print production context.

Returns a structured JSON ruleset that helps an AI agent determine whether a given task or request is a good fit for a small business's current capabilities and constraints.

Returns a structured agent playbook for managing net terms and credit application workflows in a vending/materials business context

Returns a structured playbook/template pack for closing out and archiving completed jobs in an AI agent workflow

Retrieves a structured agent playbook for communicating client status updates in a professional workflow context

Returns a full employee onboarding playbook and template pack for rapid staff onboarding workflows

Returns a structured playbook and template pack for handling internal production handoff communications in a materials or manufacturing context.

Returns a structured agent playbook for gating, drafting, and delivering quotes or estimates to clients in a materials or construction context.

Returns a structured decision rubric to help evaluate whether a given task or process should be automated

Returns a structured rubric for evaluating and communicating scope creep situations and setting clear 'say no' boundaries with clients in trade or contracting contexts

Returns the full LLM API Bootcamp agent pack (playbook, modules, and templates) from the Materials Factory catalog under pack ID mf-train-001

Searches live public web pages for OAuth and passkey/WebAuthn implementation guides and resources specifically relevant to agent builders, returning source links and snippets.

Searches live public web pages for OAuth and passkey/WebAuthn implementation resources, returning source links and snippets tailored for analyst audiences.

Searches live public web pages for OAuth and passkey/WebAuthn implementation guides and documentation targeted at developers, returning source links and snippets.

Searches live public web pages for OAuth and passkey/WebAuthn implementation guides and resources targeted at technology buyers, returning source links and snippets.

Evaluates whether a task can be admitted through the MPP (Machine Payment Protocol) public catalog given a price cap, Tempo rail, and freshness constraint, returning either an approved service match or a deterministic refusal with catalog evidence.

Computes the X, Y, and Z Pauli observable expectation values for a supplied single-qubit density matrix, returning results with basis conventions (not a hardware measurement).

Rebases a series of observed unit sales velocity figures to a base-100 index anchored to a chosen reference row, returning up to 200 normalised records.

Computes and compares retail unit sales velocity (units sold per day) across two time periods to quantify change

Computes a benchmark correlation report comparing observed retail unit sales velocity data (sold units over observed days) against a set of user-supplied benchmark values.

Generates a bounded distribution histogram of observed unit sales velocity (units sold per observed day) from up to 200 supplied retail data records.

Computes a statistical distribution summary for observed unit sales velocity across up to 200 retail data rows, each defined by units sold and observation days.

Computes IQR-based outlier flags for observed unit sales velocity across up to 200 retail records

Compares named alternative scenarios against a baseline observed retail unit sales velocity (units sold per day), returning a bounded comparison report for up to 20 scenarios.

Computes a one-input sensitivity table for observed unit sales velocity given varying values of sold_units or observed_days against a retail baseline.

Accepts a sequence of retail unit sales records (units sold and observation period in days) and returns an ordered trend analysis of unit sales velocity.

Ranks up to 200 retail records by their observed unit sales velocity (units sold per day), returning a bounded ranking report.

Computes a rolling mean of observed retail unit sales velocity (units sold per day) across up to 200 supplied data rows using a configurable window size.

Performs waterfall attribution analysis on retail unit sales velocity by comparing before/after sold_units and observed_days inputs to quantify the contribution of each input change.

Calculates the observed unit sales velocity (units sold per day) from a supplied count of units sold and the number of days observed.

Generates a two-input scenario grid report for observed unit sales velocity, varying sold_units and observed_days axes across supplied retail figures.

Computes a weighted arithmetic mean of observed unit sales velocity (units sold per day) across up to 200 retail data rows.

Returns a directory of AI companion and adult-AI tools with pricing, features, and content-policy notes.

Returns a deterministic, evidence-scored public-site audit for a given URL, packaging Lighthouse-backed observations as a machine-readable OIX report with proof digests, scored signals, and settlement metadata.